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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 777 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 4 days (c) 10 days (d) 11 days
  2. 2.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 8 : ? (a) 10 (b) 16 (c) 52 (d) 64
  3. 3.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 504 min (b) 84 min (c) 54 min (d) 6 min
  4. 4.If 9 January is a Wednesday, what day of the week is 17 January? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  5. 5.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 48 cm (d) 22 cm
  6. 6.3.77 + 1.4 = ? (a) 5.17 (b) 5.07 (c) 3.91 (d) 5.27
  7. 7.Every pair follows the same rule: 2 : 14, 3 : 21, 4 : 28. What is 8 : ? (a) 20 (b) 55 (c) 57 (d) 56
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  9. 9.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹575 (b) ₹485 (c) ₹425 (d) ₹75
  10. 10.What is the value of the digit 4 in 32.147? (a) 4 (b) 0.004 (c) 0.04 (d) 0.4
  11. 11.Which of these numbers is divisible by 8? (a) 2918 (b) 2910 (c) 2912 (d) 2924
  12. 12.Today is Monday. What day of the week will it be after 12 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
  13. 13.If 8x + 1 = 2x + 31, what is x? (a) 5 (b) 3 (c) 7 (d) 6
  14. 14.3.89 + 8.1 = ? (a) 12.09 (b) 11.89 (c) 4.7 (d) 11.99
  15. 15.1/2 + 1/8 = ? (a) 1/2 (b) 3/4 (c) 5/8 (d) 1/5
  16. 16.Which fraction is greater: 2/3 or 3/8? (a) 2/3 (b) 3/8 (c) They are equal
  17. 17.What is the average of all the whole numbers from 32 to 66? (a) 49 (b) 34 (c) 50 (d) 17
  18. 18.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 85 (c) 26 (d) 84
  19. 19.If 31 August is a Monday, what day of the week is 10 September? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  20. 20.In how many years will ₹2000 earn ₹240 simple interest at 3% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  21. 21.A bag marked ₹1780 is sold at a 15% discount. What is its selling price? (a) ₹1765 (b) ₹267 (c) ₹2047 (d) ₹1513
  22. 22.Today is Monday. What day of the week will it be after 13 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  23. 23.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 16 (b) 42 (c) 30 (d) 28
  24. 24.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 1 cm (c) 12 cm (d) 60 cm
  25. 25.What is 2/7 of 28? (a) 8 (b) 20 (c) 4 (d) 12
  26. 26.A shopkeeper buys a toy for ₹860 and sells it for ₹688. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 21%
  27. 27.Every pair follows the same rule: 2 : 11, 3 : 16, 7 : 36. What is 8 : ? (a) 40 (b) 41 (c) 42 (d) 17
  28. 28.Which of these numbers is divisible by 3? (a) 1703 (b) 1700 (c) 1701 (d) 1705
  29. 29.Which fraction is greater: 3/7 or 1/3? (a) 1/3 (b) They are equal (c) 3/7
  30. 30.What is the average of 54, 54, 69, 65, 49 and 63? (a) 60 (b) 58 (c) 61 (d) 59
  31. 31.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 1 (b) 2 (c) 16 (d) 61
  32. 32.What is the units digit of 7^11? (a) 9 (b) 1 (c) 3 (d) 7
  33. 33.The simple interest on ₹4000 for 5 years is ₹1000. What is the rate per year? (a) 25% (b) 6% (c) 5% (d) 4%
  34. 34.The simple interest on ₹10000 for 4 years is ₹2000. What is the rate per year? (a) 20% (b) 4% (c) 5% (d) 6%
  35. 35.If x/2 + 4 = 11, what is x? (a) 18 (b) 30 (c) 7 (d) 14
  36. 36.What is the average of 31, 46, 46, 31, 42 and 38? (a) 40 (b) 38 (c) 39 (d) 41
  37. 37.What is the smallest number you must add to 615 to make it divisible by 9? (a) 6 (b) 5 (c) 7 (d) 3
  38. 38.A teacher has 6 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 15 (c) 3 (d) 1
  39. 39.1/3 + 1/3 = ? (a) 1 (b) 4/3 (c) 1/3 (d) 2/3
  40. 40.7.51 + 5.8 = ? (a) 13.41 (b) 8.09 (c) 13.31 (d) 13.21

Answer key

  1. 10 days
  2. 64
  3. 84 min
  4. Thursday
  5. 28 cm
  6. 5.17
  7. 56
  8. 100 sq cm
  9. ₹425
  10. 0.04
  11. 2912
  12. Saturday
  13. 5
  14. 11.99
  15. 5/8
  16. 2/3
  17. 49
  18. 84
  19. Thursday
  20. 4 years
  21. ₹1513
  22. Sunday
  23. 42
  24. 3 cm
  25. 8
  26. 20%
  27. 41
  28. 1701
  29. 3/7
  30. 59
  31. 1
  32. 3
  33. 5%
  34. 5%
  35. 14
  36. 39
  37. 6
  38. 3
  39. 2/3
  40. 13.31

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